The problem in previously known stay log-type veneer slicers in which a large block of wood is directed in an eccentrically rotating manner past a knife consists of the fact that a remaining block that cannot be sliced has to be removed by hand from a girder structure on which the block is mounted. Hence, the downtime for removing the remaining block and mounting a new block of wood is relatively long. The aim of the invention is therefore to create a stay log-type veneer slicer that has a reduced downtime. Said aim is achieved by disposing means for discarding the block of wood (16) and a device for automatically conveying away the discarded block of wood on the girder structure (12).